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A grant is shared among three heads. The third head is given 20% of what the first two heads get together. What per cent of the grant does the third head get?

Competition practicePercentage
  • A16 2/3%
  • B20%
  • C25%
  • D80%

Step-by-Step Solution

Let the first two heads together get . Then the third gets and the grant is , so the third head's share is 2/3%. Numbers: if the first two get ₹100, the third gets ₹20 and the grant is ₹120. 20% is the trap - that rate is taken of the OTHER TWO heads, not of the grant, and a part can never be 20% of the whole and 20% of the rest at the same time. 25% is 20/80, the reading you get if the third head is set at 20% of the grant. 80% is the first two heads' share under that same wrong reading.
Answer: A) 16 2/3%

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